What is the Greatest Common Factor of 31080 and 31091?

Greatest common factor (GCF) of 31080 and 31091 is 1.

GCF(31080,31091) = 1

We will now calculate the prime factors of 31080 and 31091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31080 and 31091.

How to find the GCF of 31080 and 31091?

We will first find the prime factorization of 31080 and 31091. After we will calculate the factors of 31080 and 31091 and find the biggest common factor number .

Step-1: Prime Factorization of 31080

Prime factors of 31080 are 2, 3, 5, 7, 37. Prime factorization of 31080 in exponential form is:

31080 = 2³ × 3¹ × 5¹ × 7¹ × 37¹

Step-2: Prime Factorization of 31091

Prime factors of 31091 are 31091. Prime factorization of 31091 in exponential form is:

31091 = 31091¹

Step-3: Factors of 31080

List of positive integer factors of 31080 that divides 31080 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 37, 40, 42, 56, 60, 70, 74, 84, 105, 111, 120, 140, 148, 168, 185, 210, 222, 259, 280, 296, 370, 420, 444, 518, 555, 740, 777, 840, 888, 1036, 1110, 1295, 1480, 1554, 2072, 2220, 2590, 3108, 3885, 4440, 5180, 6216, 7770, 10360, 15540

Step-4: Factors of 31091

List of positive integer factors of 31091 that divides 31080 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31080 and 31091. The biggest common factor number is the GCF number.
So the greatest common factor 31080 and 31091 is 1.

Also check out the Least Common Multiple of 31080 and 31091